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Finding the Fourth Proportional to 1,432.80, 2,138.76 and 1,260

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Solution

The fourth proportional to 1,432.80, 2,138.76 and 1,260 is: 1,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.80 : 2,138.76 = 1,260 : x
  2. Step 2: Convert to fraction form
    1,432.80/2,138.76 = 1,260/x
  3. Step 3: Cross multiply
    1,432.80x = 2,138.76 × 1,260
  4. Step 4: Simplify right side
    1,432.80x = 2,694,837.60
  5. Step 5: Solve for x
    x = 2,694,837.60/1,432.80
  6. Step 6: Final answer
    x = 1,880.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.